Figure 1 is transformed to figure 3, as shown in the diagram. describe the transformation. a) dilation, then reflection b) reflection, then rotation c) rotation, then reflection d) translation, then rotation

The correct answer is C. Rotation, then reflection

Step-by-step explanation:

in the diagram 2, 3 are facing left and 14 should be facing right so if you rotate 1 and make it face left instead of right you get your answer

25/14 or 1.

step-by-step explanation:

the dots mean that it has infinitely more numbers behind it

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt